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Finding the Fourth Proportional to 202,139.20, 302,625.60 and 123,407.20

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Solution

The fourth proportional to 202,139.20, 302,625.60 and 123,407.20 is: 184,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.20 : 302,625.60 = 123,407.20 : x
  2. Step 2: Convert to fraction form
    202,139.20/302,625.60 = 123,407.20/x
  3. Step 3: Cross multiply
    202,139.20x = 302,625.60 × 123,407.20
  4. Step 4: Simplify right side
    202,139.20x = 37,346,177,944.32
  5. Step 5: Solve for x
    x = 37,346,177,944.32/202,139.20
  6. Step 6: Final answer
    x = 184,754.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.